Pith Number

pith:VBT2LVDQ

pith:2015:VBT2LVDQOKSIV3UA264LU2AXFM

not attested not anchored not stored refs pending

An optimal control problem for mean-field forward-backward stochastic differential equation with noisy observation

Guangchen Wang, Guojing Xing, Hua Xiao

arxiv:1509.03729 v4 · 2015-09-12 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBT2LVDQOKSIV3UA264LU2AXFM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:53:17.765979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a867a5d47072a48aee80d7b8ba68172b206590e00b6d1d37c358e6911d8412f4

Aliases

arxiv: 1509.03729 · arxiv_version: 1509.03729v4 · doi: 10.48550/arxiv.1509.03729 · pith_short_12: VBT2LVDQOKSI · pith_short_16: VBT2LVDQOKSIV3UA · pith_short_8: VBT2LVDQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VBT2LVDQOKSIV3UA264LU2AXFM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a867a5d47072a48aee80d7b8ba68172b206590e00b6d1d37c358e6911d8412f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d3a84c45ee6428083064288ea223c318dbc729382abab67ce1c16a3a5007fd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-12T11:26:22Z",
    "title_canon_sha256": "66e38cf2dd23a3cec9879a3fc33e8af65b20c49d53c64581c6cb06fff8a83023"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03729",
    "kind": "arxiv",
    "version": 4
  }
}